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Finding the Fourth Proportional to 202,824.80, 304,237.20 and 201,658.40

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Solution

The fourth proportional to 202,824.80, 304,237.20 and 201,658.40 is: 302,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,824.80 : 304,237.20 = 201,658.40 : x
  2. Step 2: Convert to fraction form
    202,824.80/304,237.20 = 201,658.40/x
  3. Step 3: Cross multiply
    202,824.80x = 304,237.20 × 201,658.40
  4. Step 4: Simplify right side
    202,824.80x = 61,351,986,972.48
  5. Step 5: Solve for x
    x = 61,351,986,972.48/202,824.80
  6. Step 6: Final answer
    x = 302,487.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.